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Finding the Fourth Proportional to 896.17, 1,237.12 and 601.60

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Solution

The fourth proportional to 896.17, 1,237.12 and 601.60 is: 830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.17 : 1,237.12 = 601.60 : x
  2. Step 2: Convert to fraction form
    896.17/1,237.12 = 601.60/x
  3. Step 3: Cross multiply
    896.17x = 1,237.12 × 601.60
  4. Step 4: Simplify right side
    896.17x = 744,246.80
  5. Step 5: Solve for x
    x = 744,246.80/896.17
  6. Step 6: Final answer
    x = 830.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.